Mister Exam
Other calculators:
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How to use it?
- Limit of the function:
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Limit of (-2+x)/(-2+x^2-x)
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Limit of cos(5*x)*sin(2*x)/tan(x)
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Limit of 3*sin(x)^2/(4*x)
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Limit of log(1+e^x)
- x*sqrt(y)
- The double integral of:
- x*sqrt(y)
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Identical expressions
- x*sqrt(y)
- x multiply by square root of (y)
- x*√(y)
- xsqrt(y)
- xsqrty
Limit of the function x*sqrt(y)
The solution
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/ ___\ lim \x*\/ y / x->oo
$$\lim_{x \to \infty}\left(x \sqrt{y}\right)$$
Limit(x*sqrt(y), x, oo, dir='-')
Lopital's rule
There is no sense to apply Lopital's rule to this function since there is no indeterminateness of 0/0 or oo/oo type
Other limits x→0, -oo, +oo, 1
$$\lim_{x \to \infty}\left(x \sqrt{y}\right) = \infty \operatorname{sign}{\left(\sqrt{y} \right)}$$
$$\lim_{x \to 0^-}\left(x \sqrt{y}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x \sqrt{y}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x \sqrt{y}\right) = \sqrt{y}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x \sqrt{y}\right) = \sqrt{y}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x \sqrt{y}\right) = - \infty \operatorname{sign}{\left(\sqrt{y} \right)}$$
More at x→-oo
$$\lim_{x \to 0^-}\left(x \sqrt{y}\right) = 0$$
More at x→0 from the left
$$\lim_{x \to 0^+}\left(x \sqrt{y}\right) = 0$$
More at x→0 from the right
$$\lim_{x \to 1^-}\left(x \sqrt{y}\right) = \sqrt{y}$$
More at x→1 from the left
$$\lim_{x \to 1^+}\left(x \sqrt{y}\right) = \sqrt{y}$$
More at x→1 from the right
$$\lim_{x \to -\infty}\left(x \sqrt{y}\right) = - \infty \operatorname{sign}{\left(\sqrt{y} \right)}$$
More at x→-oo